\select@language {spanish}
\contentsline {section}{\numberline {1}Introducci\IeC {\'o}n te\IeC {\'o}rica}{2}{section.1}
\contentsline {subsection}{\numberline {1.1}Flujo en Redes}{2}{subsection.1.1}
\contentsline {subsection}{\numberline {1.2}Circuitos El\IeC {\'e}ctricos}{2}{subsection.1.2}
\contentsline {subsection}{\numberline {1.3}M\IeC {\'e}todo de las mallas}{3}{subsection.1.3}
\contentsline {subsection}{\numberline {1.4}Sistemas de ecuaciones lineales}{3}{subsection.1.4}
\contentsline {section}{\numberline {2}Desarrollo}{5}{section.2}
\contentsline {subsection}{\numberline {2.1}Matriz}{5}{subsection.2.1}
\contentsline {subsubsection}{\numberline {2.1.1}Representaci\IeC {\'o}n}{5}{subsubsection.2.1.1}
\contentsline {subsubsection}{\numberline {2.1.2}Operaciones Suma, Resta y Multiplicaci\IeC {\'o}n}{5}{subsubsection.2.1.2}
\contentsline {subsubsection}{\numberline {2.1.3}Resolver Sistema de Ecuaciones}{6}{subsubsection.2.1.3}
\contentsline {subsubsection}{\numberline {2.1.4}Identificaci\IeC {\'o}n de cada elemento}{6}{subsubsection.2.1.4}
\contentsline {subsection}{\numberline {2.2}Mallas y Celdas}{7}{subsection.2.2}
\contentsline {subsubsection}{\numberline {2.2.1}Introducci\IeC {\'o}n}{7}{subsubsection.2.2.1}
\contentsline {subsubsection}{\numberline {2.2.2}Representaci\IeC {\'o}n}{7}{subsubsection.2.2.2}
\contentsline {subsubsection}{\numberline {2.2.3}Validez}{7}{subsubsection.2.2.3}
\contentsline {subsubsection}{\numberline {2.2.4}Constructores}{7}{subsubsection.2.2.4}
\contentsline {subsubsection}{\numberline {2.2.5}Setters}{8}{subsubsection.2.2.5}
\contentsline {subsubsection}{\numberline {2.2.6}Calculando la Resistencia de la Malla}{10}{subsubsection.2.2.6}
\contentsline {subsubsection}{\numberline {2.2.7}Celdas a Corrientes}{10}{subsubsection.2.2.7}
\contentsline {subsubsection}{\numberline {2.2.8}Planteo de las ecuaciones}{11}{subsubsection.2.2.8}
\contentsline {subsubsection}{\numberline {2.2.9}Recorriendo el borde}{11}{subsubsection.2.2.9}
\contentsline {subsection}{\numberline {2.3}Encarando el problema}{13}{subsection.2.3}
\contentsline {subsubsection}{\numberline {2.3.1}Posibilidad de Convergencia en la Resistencia}{13}{subsubsection.2.3.1}
\contentsline {subsubsection}{\numberline {2.3.2}Aproximaci\IeC {\'o}n lineal de la resistencia}{14}{subsubsection.2.3.2}
\contentsline {subsubsection}{\numberline {2.3.3}M\IeC {\'e}tricas para otras aproximaciones}{14}{subsubsection.2.3.3}
\contentsline {subsection}{\numberline {2.4}M\IeC {\'e}todo definitivo}{14}{subsection.2.4}
\contentsline {subsubsection}{\numberline {2.4.1}Pseudo-Algoritmo}{15}{subsubsection.2.4.1}
\contentsline {section}{\numberline {3}Resultados}{16}{section.3}
\contentsline {subsection}{\numberline {3.1}Linealidad}{16}{subsection.3.1}
\contentsline {subsection}{\numberline {3.2}Error}{16}{subsection.3.2}
\contentsline {subsection}{\numberline {3.3}Error Promedio}{17}{subsection.3.3}
\contentsline {subsection}{\numberline {3.4}Precisi\IeC {\'o}n}{18}{subsection.3.4}
\contentsline {subsection}{\numberline {3.5}Tama\IeC {\~n}o mallas vs. tiempo}{19}{subsection.3.5}
\contentsline {section}{\numberline {4}Discusi\IeC {\'o}n}{20}{section.4}
\contentsline {subsection}{\numberline {4.1}Sobre la linealidad}{20}{subsection.4.1}
\contentsline {subsection}{\numberline {4.2}Sobre los errores}{20}{subsection.4.2}
\contentsline {subsection}{\numberline {4.3}Sobre la precisi\IeC {\'o}n y la cantidad de celdas}{20}{subsection.4.3}
\contentsline {subsection}{\numberline {4.4}De tama\IeC {\~n}os y tiempos de mallas}{20}{subsection.4.4}
\contentsline {section}{\numberline {5}Conclusiones}{22}{section.5}
\contentsline {section}{\numberline {6}Ap\IeC {\'e}ndice A: C\IeC {\'o}digo Fuente}{23}{section.6}
